Mplus VERSION 8.3
MUTHEN & MUTHEN
12/18/2024   3:30 PM

INPUT INSTRUCTIONS

  TITLE:LPA
  DATA:FILE IS C:\Users\72833\Desktop\Y.dat;
  VARIABLE:NAMES ARE Y1-Y19;
           USEVARIABLES ARE Y1-Y19;
           CLASSES = c(2);
  ANALYSIS: TYPE = MIXTURE;
  OUTPUT: TECH11 TECH14;
  SAVEDATA:File = 2class.txt;
           SAVE = CPROB;

  plot:
  type = plot3;
  series = Y1-Y19(*);



*** WARNING in MODEL command
  All variables are uncorrelated with all other variables within class.
  Check that this is what is intended.
   1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



LPA

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         347

Number of dependent variables                                   19
Number of independent variables                                  0
Number of continuous latent variables                            0
Number of categorical latent variables                           1

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6
   Y7          Y8          Y9          Y10         Y11         Y12
   Y13         Y14         Y15         Y16         Y17         Y18
   Y19

Categorical latent variables
   C


Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-06
    Relative loglikelihood change                        0.100D-06
    Derivative                                           0.100D-05
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-05
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Optimization algorithm                                         EMA
Random Starts Specifications
  Number of initial stage random starts                         20
  Number of final stage optimizations                            4
  Number of initial stage iterations                            10
  Initial stage convergence criterion                    0.100D+01
  Random starts scale                                    0.500D+01
  Random seed for generating random starts                       0

Input data file(s)
  C:\Users\72833\Desktop\Y.dat
Input data format  FREE



UNIVARIATE SAMPLE STATISTICS


     UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS

         Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
        Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median

     Y1                    3.790      -0.842       1.000    0.86%       3.000      4.000      4.000
             347.000       0.633       1.000       5.000   13.83%       4.000      4.000
     Y2                    3.824      -0.667       2.000    3.46%       3.000      4.000      4.000
             347.000       0.398       1.103       5.000    9.22%       4.000      4.000
     Y3                    3.994      -1.025       1.000    1.15%       4.000      4.000      4.000
             347.000       0.559       2.408       5.000   21.61%       4.000      5.000
     Y4                    3.677      -0.939       1.000    1.15%       3.000      4.000      4.000
             347.000       0.599       1.139       5.000    8.07%       4.000      4.000
     Y5                    4.069      -0.782       1.000    0.29%       4.000      4.000      4.000
             347.000       0.554       1.085       5.000   27.09%       4.000      5.000
     Y6                    3.677      -0.650       1.000    0.58%       3.000      4.000      4.000
             347.000       0.536       0.737       5.000    8.36%       4.000      4.000
     Y7                    3.793      -0.688       1.000    0.58%       3.000      4.000      4.000
             347.000       0.568       0.892       5.000   13.26%       4.000      4.000
     Y8                    3.847      -1.031       1.000    1.15%       3.000      4.000      4.000
             347.000       0.481       2.762       5.000   11.82%       4.000      4.000
     Y9                    4.000      -0.497       2.000    2.59%       4.000      4.000      4.000
             347.000       0.461       0.633       5.000   20.46%       4.000      5.000
     Y10                   3.942      -0.733       1.000    0.58%       4.000      4.000      4.000
             347.000       0.469       1.840       5.000   17.00%       4.000      4.000
     Y11                   3.548      -0.423       1.000    1.73%       3.000      3.000      4.000
             347.000       0.876      -0.261       5.000   13.54%       4.000      4.000
     Y12                   3.916      -0.357       2.000    1.73%       3.000      4.000      4.000
             347.000       0.394       0.628       5.000   14.12%       4.000      4.000
     Y13                   3.513      -0.476       1.000    1.44%       3.000      3.000      4.000
             347.000       0.826      -0.265       5.000   10.37%       4.000      4.000
     Y14                   3.769      -0.537       2.000    3.75%       3.000      4.000      4.000
             347.000       0.425       0.606       5.000    8.65%       4.000      4.000
     Y15                   3.793      -0.555       2.000    5.48%       3.000      4.000      4.000
             347.000       0.516       0.418       5.000   12.10%       4.000      4.000
     Y16                   3.637      -0.170       1.000    0.29%       3.000      3.000      4.000
             347.000       0.571      -0.067       5.000   10.95%       4.000      4.000
     Y17                   3.683      -0.068       1.000    0.29%       3.000      4.000      4.000
             347.000       0.493       0.044       5.000   10.66%       4.000      4.000
     Y18                   3.769      -0.421       1.000    0.58%       3.000      4.000      4.000
             347.000       0.500       0.778       5.000   12.10%       4.000      4.000
     Y19                   3.573      -0.115       1.000    0.58%       3.000      3.000      4.000
             347.000       0.706      -0.288       5.000   13.26%       4.000      4.000

RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES

Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:

           -6646.171  650371           14
           -6646.171  127215           9
           -6646.171  637345           19
           -6646.171  76974            16



THE BEST LOGLIKELIHOOD VALUE HAS BEEN REPLICATED.  RERUN WITH AT LEAST TWICE THE
RANDOM STARTS TO CHECK THAT THE BEST LOGLIKELIHOOD IS STILL OBTAINED AND REPLICATED.


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       58

Loglikelihood

          H0 Value                       -6646.171
          H0 Scaling Correction Factor      1.2604
            for MLR

Information Criteria

          Akaike (AIC)                   13408.341
          Bayesian (BIC)                 13631.602
          Sample-Size Adjusted BIC       13447.608
            (n* = (n + 2) / 24)



FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL

    Latent
   Classes

       1        104.69922          0.30173
       2        242.30078          0.69827


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES

    Latent
   Classes

       1        104.69922          0.30173
       2        242.30078          0.69827


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1              105          0.30259
       2              242          0.69741


CLASSIFICATION QUALITY

     Entropy                         0.944


Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)

           1        2

    1   0.976    0.024
    2   0.009    0.991


Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)

           1        2

    1   0.979    0.021
    2   0.010    0.990


Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)

              1        2

    1      3.830    0.000
    2     -4.553    0.000


MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Latent Class 1

 Means
    Y1                 3.223      0.091     35.457      0.000
    Y2                 3.353      0.077     43.691      0.000
    Y3                 3.552      0.091     38.854      0.000
    Y4                 2.975      0.082     36.112      0.000
    Y5                 3.591      0.088     40.623      0.000
    Y6                 3.095      0.072     42.965      0.000
    Y7                 3.184      0.080     39.879      0.000
    Y8                 3.357      0.078     42.803      0.000
    Y9                 3.442      0.071     48.530      0.000
    Y10                3.402      0.079     43.206      0.000
    Y11                2.910      0.080     36.549      0.000
    Y12                3.449      0.065     52.767      0.000
    Y13                2.901      0.088     33.058      0.000
    Y14                3.279      0.067     48.882      0.000
    Y15                3.195      0.068     47.247      0.000
    Y16                3.152      0.069     45.922      0.000
    Y17                3.183      0.065     49.271      0.000
    Y18                3.237      0.074     43.959      0.000
    Y19                3.012      0.061     49.675      0.000

 Variances
    Y1                 0.494      0.051      9.779      0.000
    Y2                 0.302      0.025     11.974      0.000
    Y3                 0.474      0.052      9.146      0.000
    Y4                 0.386      0.046      8.360      0.000
    Y5                 0.456      0.046      9.828      0.000
    Y6                 0.389      0.039     10.065      0.000
    Y7                 0.408      0.045      9.108      0.000
    Y8                 0.377      0.047      8.048      0.000
    Y9                 0.326      0.026     12.489      0.000
    Y10                0.343      0.033     10.333      0.000
    Y11                0.701      0.058     12.003      0.000
    Y12                0.299      0.027     11.087      0.000
    Y13                0.665      0.055     12.022      0.000
    Y14                0.321      0.028     11.655      0.000
    Y15                0.362      0.035     10.324      0.000
    Y16                0.470      0.041     11.392      0.000
    Y17                0.385      0.031     12.433      0.000
    Y18                0.377      0.038      9.992      0.000
    Y19                0.569      0.048     11.972      0.000

Latent Class 2

 Means
    Y1                 4.034      0.043     93.937      0.000
    Y2                 4.028      0.032    126.003      0.000
    Y3                 4.185      0.040    104.429      0.000
    Y4                 3.981      0.039    102.003      0.000
    Y5                 4.276      0.041    104.561      0.000
    Y6                 3.929      0.041     95.298      0.000
    Y7                 4.056      0.042     97.711      0.000
    Y8                 4.059      0.038    107.225      0.000
    Y9                 4.241      0.037    114.326      0.000
    Y10                4.176      0.035    119.529      0.000
    Y11                3.823      0.061     63.144      0.000
    Y12                4.118      0.035    118.463      0.000
    Y13                3.777      0.057     66.091      0.000
    Y14                3.981      0.037    108.655      0.000
    Y15                4.051      0.042     96.461      0.000
    Y16                3.846      0.047     81.170      0.000
    Y17                3.899      0.043     90.465      0.000
    Y18                4.000      0.040    101.021      0.000
    Y19                3.816      0.057     67.049      0.000

 Variances
    Y1                 0.494      0.051      9.779      0.000
    Y2                 0.302      0.025     11.974      0.000
    Y3                 0.474      0.052      9.146      0.000
    Y4                 0.386      0.046      8.360      0.000
    Y5                 0.456      0.046      9.828      0.000
    Y6                 0.389      0.039     10.065      0.000
    Y7                 0.408      0.045      9.108      0.000
    Y8                 0.377      0.047      8.048      0.000
    Y9                 0.326      0.026     12.489      0.000
    Y10                0.343      0.033     10.333      0.000
    Y11                0.701      0.058     12.003      0.000
    Y12                0.299      0.027     11.087      0.000
    Y13                0.665      0.055     12.022      0.000
    Y14                0.321      0.028     11.655      0.000
    Y15                0.362      0.035     10.324      0.000
    Y16                0.470      0.041     11.392      0.000
    Y17                0.385      0.031     12.433      0.000
    Y18                0.377      0.038      9.992      0.000
    Y19                0.569      0.048     11.972      0.000

Categorical Latent Variables

 Means
    C#1               -0.839      0.132     -6.335      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.505E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL 11 OUTPUT

     Random Starts Specifications for the k-1 Class Analysis Model
        Number of initial stage random starts                  20
        Number of final stage optimizations                     4



     VUONG-LO-MENDELL-RUBIN LIKELIHOOD RATIO TEST FOR 1 (H0) VERSUS 2 CLASSES

          H0 Loglikelihood Value                        -7343.357
          2 Times the Loglikelihood Difference           1394.374
          Difference in the Number of Parameters               20
          Mean                                             42.624
          Standard Deviation                               96.873
          P-Value                                          0.0000

     LO-MENDELL-RUBIN ADJUSTED LRT TEST

          Value                                          1382.555
          P-Value                                          0.0000


TECHNICAL 14 OUTPUT

     Random Starts Specifications for the k-1 Class Analysis Model
        Number of initial stage random starts                  20
        Number of final stage optimizations                     4

     Random Starts Specification for the k-1 Class Model for Generated Data
        Number of initial stage random starts                   0
        Number of final stage optimizations for the
           initial stage random starts                          0
     Random Starts Specification for the k Class Model for Generated Data
        Number of initial stage random starts                  40
        Number of final stage optimizations                     8
     Number of bootstrap draws requested                   Varies


     PARAMETRIC BOOTSTRAPPED LIKELIHOOD RATIO TEST FOR 1 (H0) VERSUS 2 CLASSES

          H0 Loglikelihood Value                        -7343.357
          2 Times the Loglikelihood Difference           1394.374
          Difference in the Number of Parameters               20
          Approximate P-Value                              0.0000
          Successful Bootstrap Draws                            5


PLOT INFORMATION

The following plots are available:

  Histograms (sample values)
  Scatterplots (sample values)
  Sample means
  Estimated means, medians, modes, and percentiles
  Sample and estimated means
  Observed individual values
  Estimated means and observed individual values
  Estimated overall and class-specific distributions

SAVEDATA INFORMATION


  Save file
    2class.txt

  Order and format of variables

    Y1             F10.3
    Y2             F10.3
    Y3             F10.3
    Y4             F10.3
    Y5             F10.3
    Y6             F10.3
    Y7             F10.3
    Y8             F10.3
    Y9             F10.3
    Y10            F10.3
    Y11            F10.3
    Y12            F10.3
    Y13            F10.3
    Y14            F10.3
    Y15            F10.3
    Y16            F10.3
    Y17            F10.3
    Y18            F10.3
    Y19            F10.3
    CPROB1         F10.3
    CPROB2         F10.3
    C              F10.3

  Save file format
    22F10.3

  Save file record length    10000


DIAGRAM INFORMATION

  Mplus diagrams are currently not available for Mixture analysis.
  No diagram output was produced.


     Beginning Time:  15:30:09
        Ending Time:  15:30:12
       Elapsed Time:  00:00:03



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